8-3(x+2)=13(x+5)-45

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Solution for 8-3(x+2)=13(x+5)-45 equation: 


Simplifying
8 + -3(x + 2) = 13(x + 5) + -45

Reorder the terms:
8 + -3(2 + x) = 13(x + 5) + -45
8 + (2 * -3 + x * -3) = 13(x + 5) + -45
8 + (-6 + -3x) = 13(x + 5) + -45

Combine like terms: 8 + -6 = 2
2 + -3x = 13(x + 5) + -45

Reorder the terms:
2 + -3x = 13(5 + x) + -45
2 + -3x = (5 * 13 + x * 13) + -45
2 + -3x = (65 + 13x) + -45

Reorder the terms:
2 + -3x = 65 + -45 + 13x

Combine like terms: 65 + -45 = 20
2 + -3x = 20 + 13x

Solving
2 + -3x = 20 + 13x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13x' to each side of the equation.
2 + -3x + -13x = 20 + 13x + -13x

Combine like terms: -3x + -13x = -16x
2 + -16x = 20 + 13x + -13x

Combine like terms: 13x + -13x = 0
2 + -16x = 20 + 0
2 + -16x = 20

Add '-2' to each side of the equation.
2 + -2 + -16x = 20 + -2

Combine like terms: 2 + -2 = 0
0 + -16x = 20 + -2
-16x = 20 + -2

Combine like terms: 20 + -2 = 18
-16x = 18

Divide each side by '-16'.
x = -1.125

Simplifying
x = -1.125

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